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  4. The radius of the circular plates of a parallel plate capacitor is R. Air is dielectric medium between the plates. If the capacitance of the capacitor is equal to the capacitance of a sphere of radius R, then the distance between the plates is

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Q. The radius of the circular plates of a parallel plate capacitor is $R$. Air is dielectric medium between the plates. If the capacitance of the capacitor is equal to the capacitance of a sphere of radius $R$, then the distance between the plates is

Electrostatic Potential and Capacitance

Solution:

$C =\frac{\varepsilon_{0}\left(\pi R^{2}\right)}{x}=4 \pi \varepsilon_{0} R$
$ \Rightarrow x = R / 4$